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This paper addresses a profoundly challenging inverse problem that has remained largely unexplored due to its mathematical complexity: the unique identification of all unknown coefficients in a coupled nonlinear system of mixed…

Analysis of PDEs · Mathematics 2025-09-08 Yuhan Li , Hongyu Liu , Catharine W. K. Lo

Within the rigorous axiomatic framework for the description of quantum mechanical systems with a large number of degrees of freedom, we construct the so-called nonequilibrium steady state for the quasifree fermionic system corresponding to…

Mathematical Physics · Physics 2020-12-21 Walter H. Aschbacher

Gapped two-dimensional gauge theories with massless fermions generically have rich vacuum structures consisting of many degenerate vacua related by the action of topological line operators. The algebra of such operators has been used to…

High Energy Physics - Theory · Physics 2026-01-26 Ross Dempsey , Anna-Maria E. Glück , Silviu S. Pufu , Benjamin T. Søgaard

We present a simple exactly solvable quantum mechanical example of the global anomaly in an $O(3)$ model with an odd number of fermionic triplets coupled to a gauge field on a circle. Because the fundamental group is non-trivial, $\pi_1…

High Energy Physics - Phenomenology · Physics 2019-08-17 Minos Axenides , Andrei Johansen , Holger Bech Nielsen

The Landau paradigm of phase transitions is one of the backbones in critical phenomena. With a $Z_2$ symmetry, it describes the Ising universality class whose central charge is one half (c = 1=2) in two spatial dimensions (2D). Recent…

Strongly Correlated Electrons · Physics 2018-03-05 Sangjin Lee , Jun Jung , Ara Go , Eun-Gook Moon

Contrary to the common wisdom, local bosonizations of fermionic systems exist in higher dimensions. Interestingly, resulting bosonic variables must satisfy local constraints of a gauge type. They effectively replace long distance exchange…

High Energy Physics - Lattice · Physics 2021-01-04 Arkadiusz Bochniak , Blazej Ruba , Jacek Wosiek , Adam Wyrzykowski

In this work, we explore topological phases of matter obtained by effectively gauging or fermionizing a system, where the Gauss law constraint is only enforced energetically. In contrast to conventional gauging or fermionization, the…

Strongly Correlated Electrons · Physics 2026-02-11 Takamasa Ando

Neutrinos allow for a test of the hypothesis that the fermions of the Standard Model have Fermi-point splitting, analogous to the fermionic quasi-particles of certain condensed-matter systems. If present, the corresponding Lorentz-violating…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. R. Klinkhamer

The recent introduction of a deformed non-minimal version of the noncommutative Standard Model in the enveloping-algebra approach, having a one-loop renormalisable gauge sector involving a higher order gauge term, motivates us to consider…

High Energy Physics - Theory · Physics 2010-04-30 C. Tamarit , J. Trampetic

This work investigates a model describing the interaction of two species in habiting separate but adjacent areas. These populations are governed by a system of equations that account for spatial variations in growth rates and the effects of…

Analysis of PDEs · Mathematics 2025-07-25 Pablo Álvarez-Caudevilla , Cristina Brändle , Fermin González-Pereiro

The Fermi-point scenario of emergent gravity has the following consequences: gravity emerges together with fermionic and bosonic matter; emergent fermionic matter consists of massless Weyl fermions; emergent bosonic matter consists of gauge…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. E. Volovik

Interacting fermionic chains exhibit extended regions of topological degeneracy of their ground states as a result of the presence of Majorana or parafermionic zero modes localized at the edges. In the opposite limit of infinite…

Strongly Correlated Electrons · Physics 2025-08-29 Niklas Tausendpfund , Aditi Mitra , Matteo Rizzi

We consider the generation of fermion masses in an emergent model of electroweak symmetry breaking with composite $W,Z$ gauge bosons. A universal bulk fermion profile in a warped extra dimension is used for all fermion flavors. Electroweak…

High Energy Physics - Phenomenology · Physics 2011-01-04 Yanou Cui , Tony Gherghetta , James Stokes

Exceptional points~(EPs) appear as degeneracies in the spectrum of non-Hermitian matrices at which the eigenvectors coalesce. In general, an EP of order $n$ may find room to emerge if $2(n-1)$ real constraints are imposed. Our results show…

Quantum Physics · Physics 2022-07-29 Sharareh Sayyad , Flore K. Kunst

We calculate the mobility of a heavy particle coupled to a Fermi sea within a non-perturbative approach valid at all temperatures. The interplay of particle recoil and of strong coupling effects, leading to the orthogonality catastrophe for…

Strongly Correlated Electrons · Physics 2010-05-24 A. Rosch , T. Kopp

We introduce an unconventional regularization of condensed matter effective field theory by a non-local bulk topological regulator in one higher dimension, which is equivalent to a bulk-interface-bulk formulation. We show its necessity…

Strongly Correlated Electrons · Physics 2019-11-21 Yuan Yao

For the simplest case of a supermembrane matrix model, various symmetry reductions are given, with the fermionic contribution(s) (to an effective Schr\"odinger equation) corresponding to an attractive $\delta$-function potential (towards…

High Energy Physics - Theory · Physics 2007-05-23 Jens Hoppe

Non-Hermitian systems have been widely explored in platforms ranging from photonics to electric circuits. A defining feature of non-Hermitian systems is exceptional points (EPs), where both eigenvalues and eigenvectors coalesce. Tropical…

Quantum Physics · Physics 2023-08-22 Ayan Banerjee , Rimika Jaiswal , Madhusudan Manjunath , Awadhesh Narayan

We investigate the spontaneous emission of a two-level system, e.g. an atom or atomlike object, coupled to a single-end, i.e., semi-infinite, one-dimensional photonic waveguide such that one end behaves as a perfect mirror while light can…

Quantum Physics · Physics 2013-01-23 T. Tufarelli , F. Ciccarello , M. S. Kim

We stress the importance of the circa 20 parameters in the Standard Model, which are not fixed by the model but only determined experimentally, as a window to the physics beyond the Standard Model. However, it is a tiny window in as far as…

High Energy Physics - Phenomenology · Physics 2015-06-25 C. D. Froggatt , H. B. Nielsen